Consider a distributional vector field whose singular support is a subset of \(S \cup \lbrace O\rbrace \)  and which is expressed as a sum of a piecewise smooth vector field in \(\Omega -O\)  and a concentration on the interfacial curve \(S\) . Suppose that the curl of such a vector field is point supported (at \(O\) ); the curl is hence expressible as a linear combination of the Dirac measure and its derivatives. In the following lemma we obtain the implications, of the curl of the vector field being point supported, on the restriction of the field to \(\Omega -O\) . Additionally we show that if the given field, with a point supported curl, has a negative degree of divergence then the curl of such a field is necessarily a scalar multiple of the Dirac measure. In such a case, the restriction is sufficient to obtain the curl of the distributional vector field. The lemma extends a recent result [1]}, which was meant for vector fields smooth in \(\Omega -O\) , to vector fields non-smooth in \(\Omega -O\) .
